The generator matrix

 1  0  1  1  1  X  1  1 X^2+X  1 X^2  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1
 0  1  1 X^2 X+1  1  X X^2+X+1  1 X^2+X  1 X^2+X+1 X^2+X+1 X^2+1  1  1 X^2  0 X^2+X X^2+X  X X^2+X  0 X^2 X^2+1 X^2  1  X X+1 X+1 X^2+X X+1
 0  0  X X^2+X X^2 X^2+X  X X^2+X  0  0  X X^2  X  0 X^2 X^2+X  0 X^2+X X^2+X X^2  0  X X^2  X X^2+X X^2  0 X^2  0 X^2+X  X  X

generates a code of length 32 over Z2[X]/(X^3) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+37x^30+76x^31+53x^32+40x^33+32x^34+12x^35+2x^36+2x^38+1x^54

The gray image is a linear code over GF(2) with n=128, k=8 and d=60.
This code was found by Heurico 1.16 in 0.00968 seconds.